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330343122111431 = 1113411094261121313
BaseRepresentation
bin100101100011100100000000…
…0011100101000101111000111
31121022122111100011102121022112
41023013020000130220233013
5321244320203230031211
63130325311341051235
7126403334343042302
oct11307100034505707
91538574304377275
10330343122111431
119629180544a3a0
1231072863256b1b
13112432b84c2720
145b8099a003b39
15282ceb194388b
hex12c7200728bc7

330343122111431 has 64 divisors (see below), whose sum is σ = 401305974410880. Its totient is φ = 267903479808000.

The previous prime is 330343122111383. The next prime is 330343122111433. The reversal of 330343122111431 is 134111221343033.

It is a cyclic number.

It is not a de Polignac number, because 330343122111431 - 214 = 330343122095047 is a prime.

It is a super-2 number, since 2×3303431221114312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330343122111433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2723003831 + ... + 2723125143.

It is an arithmetic number, because the mean of its divisors is an integer number (6270405850170).

Almost surely, 2330343122111431 is an apocalyptic number.

330343122111431 is a deficient number, since it is larger than the sum of its proper divisors (70962852299449).

330343122111431 is a wasteful number, since it uses less digits than its factorization.

330343122111431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125748.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 330343122111431 its reverse (134111221343033), we get a palindrome (464454343454464).

The spelling of 330343122111431 in words is "three hundred thirty trillion, three hundred forty-three billion, one hundred twenty-two million, one hundred eleven thousand, four hundred thirty-one".

Divisors: 1 11 13 41 109 143 451 533 1199 1417 4261 4469 5863 15587 46871 49159 55393 58097 121313 174701 464449 609323 639067 1334443 1577069 1921711 2271113 4973833 5108939 6037837 13223117 17347759 19042409 24982243 54712163 64659829 66416207 145454287 171900521 209466499 247551317 516914693 542147797 711258119 1890905731 2723064487 5686061623 5963625767 6719891009 7047921361 21193502413 56343701537 73918801099 77527134971 233128526543 275515531369 619780716907 732468119981 2310091763017 3030670845059 8057149319791 25411009393187 30031192919221 330343122111431